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Algebra Level 5

Let \(a, b\) and \( c\) be the distinct roots of the polynomial \(P(x) = x^3-􀀀10x^2 +x􀀀-2015\). If the cubic polynomial \(Q(x)\) is monic and has distinct roots \(bc-􀀀a^2, ca-􀀀b^2\) and \( ab-c^2\), what is the sum of the coefficients of \(Q(x) \)?

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